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Finding the Fourth Proportional to 402.30, 601.16 and 337.50

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Solution

The fourth proportional to 402.30, 601.16 and 337.50 is: 504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.30 : 601.16 = 337.50 : x
  2. Step 2: Convert to fraction form
    402.30/601.16 = 337.50/x
  3. Step 3: Cross multiply
    402.30x = 601.16 × 337.50
  4. Step 4: Simplify right side
    402.30x = 202,889.81
  5. Step 5: Solve for x
    x = 202,889.81/402.30
  6. Step 6: Final answer
    x = 504.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.